Cremona's table of elliptic curves

57477 = 3 · 7² · 17 · 23

Class	r	Atkin-Lehner	Eigenvalues
57477a (1 curve)	0	3+ 7- 17+ 23+	1 3+  0 7- -3 -1 17+  5
Curve Equation t 57477a1 [1,1,0,741835,628664646] 1
57477b (1 curve)	0	3+ 7- 17+ 23+	1 3+  3 7-  0  6 17+  7
Curve Equation t 57477b1 [1,1,0,1494,-21573] 1
57477c (1 curve)	2	3+ 7- 17+ 23+	-1 3+  0 7- -3 -1 17+ -5
Curve Equation t Generators 57477c1 [1,1,1,832,12494] 1 [-8:77:1]&[-4:97:1]
57477d (4 curves)	0	3+ 7- 17+ 23+	-1 3+  2 7-  4  2 17+ -4
Curve Equation t 57477d1 [1,1,1,-964682307,-6658937579064] 2 57477d2 [1,1,1,-6878386712,214844774614616] 4 57477d3 [1,1,1,1018990573,679516977211274] 2 57477d4 [1,1,1,-109395034477,13926528426501578] 2
57477e (1 curve)	2	3+ 7- 17+ 23+	-1 3+ -3 7- -6  2 17+  1
Curve Equation t Generators 57477e1 [1,1,1,-4117,-103930] 1 [76:133:1]&[90:469:1]
57477f (1 curve)	0	3+ 7- 17+ 23+	-2 3+  0 7-  0  5 17+  8
Curve Equation t 57477f1 [0,-1,1,-898,-8730] 1
57477g (1 curve)	1	3+ 7- 17+ 23-	-1 3+  2 7- -5  5 17+  5
Curve Equation t Generators 57477g1 [1,1,1,-749652,-253605822] 1 [11586:1237782:1]
57477h (1 curve)	0	3+ 7- 17- 23-	0 3+  2 7- -1 -2 17- -3
Curve Equation t 57477h1 [0,-1,1,-402747,-98244322] 1
57477i (1 curve)	0	3+ 7- 17- 23-	0 3+  2 7-  2  1 17-  6
Curve Equation t 57477i1 [0,-1,1,-82777,-4315242] 1
57477j (1 curve)	2	3+ 7- 17- 23-	-1 3+ -1 7- -2  2 17- -7
Curve Equation t Generators 57477j1 [1,1,1,2449,5263040] 1 [440:9359:1]&[-43:2275:1]
57477k (1 curve)	1	3- 7- 17+ 23+	0 3- -2 7-  2  1 17+  2
Curve Equation t Generators 57477k1 [0,1,1,-25839,-1553317] 1 [-81:121:1]
57477l (2 curves)	1	3- 7- 17+ 23+	1 3- -2 7-  0 -6 17+  0
Curve Equation t Generators 57477l1 [1,0,1,-1202,11855] 2 [54:479:8] 57477l2 [1,0,1,2963,76829] 2 [-17:155:1]
57477m (2 curves)	0	3- 7- 17+ 23-	1 3- -2 7-  0  2 17+  8
Curve Equation t 57477m1 [1,0,1,-119537,-15917065] 2 57477m2 [1,0,1,-115372,-17076601] 2
57477n (4 curves)	0	3- 7- 17+ 23-	-1 3-  2 7-  4  2 17+ -4
Curve Equation t 57477n1 [1,0,0,-4117,-74152] 2 57477n2 [1,0,0,-23962,1366595] 4 57477n3 [1,0,0,13523,5257538] 2 57477n4 [1,0,0,-378967,89762840] 2
57477o (1 curve)	2	3- 7- 17- 23+	1 3- -3 7-  0 -6 17- -7
Curve Equation t Generators 57477o1 [1,0,1,30,67] 1 [-10:43:8]&[-1:6:1]
57477p (4 curves)	0	3- 7- 17- 23+	-1 3- -2 7- -4  2 17-  4
Curve Equation t 57477p1 [1,0,0,-137054,19517763] 4 57477p2 [1,0,0,-139259,18856704] 4 57477p3 [1,0,0,112846,79614009] 2 57477p4 [1,0,0,-426644,-84199557] 2
57477q (1 curve)	0	3- 7- 17- 23+	-1 3-  4 7-  5 -1 17-  1
Curve Equation t 57477q1 [1,0,0,-981,-11922] 1

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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